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Finding the Fourth Proportional to 10,093.50, 13,929 and 5,901.72

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Solution

The fourth proportional to 10,093.50, 13,929 and 5,901.72 is: 8,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.50 : 13,929 = 5,901.72 : x
  2. Step 2: Convert to fraction form
    10,093.50/13,929 = 5,901.72/x
  3. Step 3: Cross multiply
    10,093.50x = 13,929 × 5,901.72
  4. Step 4: Simplify right side
    10,093.50x = 82,205,057.88
  5. Step 5: Solve for x
    x = 82,205,057.88/10,093.50
  6. Step 6: Final answer
    x = 8,144.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.